Gravitational singularities in general relativity are spacetime locations where the gravitational field becomes infinite. Scalar invariant curves of spacetime include a measure of matter density. Some physicists and philosophers believe that because the density of matter tends to become infinite in singularity, spacetime laws are no longer valid there. A gravitational singularity almost universally accepted in astrophysics and cosmology as the earliest state of the universe, is the Big Bang. In this case also, the known laws (...) of physics are no longer valid. DOI: 10.13140/RG.2.2.24285.87523. (shrink)

General relativity allows singularities, and we need to understand the ontology of singularities if we want to understand the nature of space and time in the present universe. Although some physicists believe that singularities indicate a failure of general relativity, others believe that singularities open a new horizon in cosmology, with real physical phenomena that can help deepen our understanding of the world. From the definitions of singularities, most known are the possibility that some spacetimes (...) contain incomplete paths (most accepted), the missing points, and the pathology of curvature. DOI: 10.13140/RG.2.2.31611.46888. (shrink)

In this paper we argue that the current paradigm for AGN and quasars is essentially incomplete and a rivision is needed. Remind that the current paradigm for AGN and quasars is that their radio emission is explained by synchrotron radiation from relativistic electrons that are Doppler boosted through bulk motion. In this model, the intrinsic brightness temperatures cannot exceed 1011 to 1012 K. Typical Doppler boosting is expected to be able to raise this temperature by a factor of 10. The (...) observed brightness temperature of the most compact structures in BL Lac, constrained by baselines longer than 5.3Gλ, must indeed exceed 2×1013K and can reach as high as ˜ 3 × 1014K. This is difficult to reconcile with current incoherent synchrotron emission models from relativistic electrons, requiring alternative models such as emission from relativistic protons. However the proton, as we know, is 1836 times heavier than an electron and absolutely huge energy is required to accelerated it to sublight speed. These alternative models such as emission from relativistic protons can be suported by semiclassical gravity effect finds its roots in the singular behavior of quantum fields on curved distributional space- times presented by rotating gravitational singularities. (shrink)

This book deals with Colombeau solutions to Einstein field equations in general relativity: Gravitational singularities, distributional SAdS BH spacetime-induced vacuum dominance. This book covers key areas of Colombeau nonlinear generalized functions, distributional Riemannian, geometry, distributional schwarzschild geometry, Schwarzschild singularity, Schwarzschild horizon, smooth regularization, nonsmooth regularization, quantum fields, curved spacetime, vacuum fluctuations, vacuum dominance etc. This book contains various materials suitable for students, researchers and academicians of this area.

In contemporary mathematics, a Colombeau algebra of Colombeau generalized functions is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this. Remark 1.1.1.Such a multiplication of distributions has been a long time mistakenly believed to be impossible because of Schwartz’ impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions and (...) preserving the product of continuous functions. However, if one only wants to preserve the product of smooth functions instead such a construction becomes possible, as demonstrated first by J.F.Colombeau [1],[2]. As a mathematical tool, Colombeau algebras can be said to combine a treatment of singularities, differentiation and nonlinear operations in one framework, lifting the limitations of distribution theory. These algebras have found numerous applications in the fields of partial differential equations, geophysics, microlocal analysis and general relativity so far. (shrink)

The singularities from the general relativity resulting by solving Einstein's equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case?

The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations. We address the problem of constructing distinguishable extensions of the smooth spacetime manifold model, which can incorporate singularities, while retaining the form of the field equations. The sheaf-theoretic formulation of this problem is tantamount to extending the algebra sheaf of smooth functions to a distribution-like algebra sheaf in (...) which the former may be embedded, satisfying the pertinent cohomological conditions required for the coordinatization of all of the tensorial physical quantities, such that the form of the field equations is preserved. We present in detail the construction of these distribution-like algebra sheaves in terms of residue classes of sequences of smooth functions modulo the information of singular loci encoded in suitable ideals. Finally, we consider the application of these distribution-like solution sheaves in geometrodynamics by modeling topologically-circular boundaries of singular loci in three-dimensional space in terms of topological links. It turns out that the Borromean link represents higher order wormhole solutions. (shrink)

The article summarizes the software tool on astrophysical analysis with multi-wavelength space telescope data. It recaps the evidence analysis conducted on the Kerr-Newman black hole (KNBH). It was written prior to the article Research on the Kerr-Newman Black Hole in M82 Confirms Black Hole and White Hole Juxtapose not soon after the experiment. The conducted analysis suggested Hawking radiation is caused by the movement of ergosurfaces of the BH and serves as the primal evidence for black hole and white hole (...) juxtapose. A later data exploration was conducted with the radiation trails in the multi-wavelength data. The evidences produced corroborates with Yale professor Priyamvada Natarajan's black hole seeds theory. It implies that the electromagnetic dynamic of fusion and fission temperature determines the pressure of surface tension on the macro particles, and the mass density of the BH is determined by the electromagnetic tension between the outer ergosurface and inner ergosurface. The ring singularity of the BH and the Penrose-Hawking singularity of the BH determine the spin and gravitational singularity of the BH. Inside the ergosurfaces, the BH singularities' backward inflow causes the vicinity's rate on feeding the BH. It makes the active galactic nuclei (AGN) a semi-closed system. The density pressure is released on threshold. During the mass exchange observed by energy momentum upon the AGN's open, the macroparticle composition of the BH changes with the galactic event. This causes the expansion rate of the galaxy and contraction rate of the BH. AGN types and their relative motions determine the expansion rate of the cosmic universe in a generalized quantitative thinking. The article concludes that BH spin is caused by the asymmetric motions of AGN in the BH system. A set of the nuclear resonance caused by BH and white hole (WH) oscillation is processed with the same set of data. (shrink)

The article explains on the two-year experiment after the author’s finalization of dissertation. The thesis of the dissertation was hidden in the last chapter with analytical linguistics. It was done so with the fascist development of the Chinese Communist regime with neo- Nazi characteristics. Since numerous prior warnings on the political downshifts & coup d’état in China was willfully ignored by the university, the linguistic innovations in dissertation found a balance between multilateralism and outer space (security). The experiments were conducted (...) with a combination of physical unit analysis & thermonuclear dynamics analysis. It describes the experiment process in terms of gravitation as gravitational singularity and Bekenstein-Penrose singularity. Detailed research process is elaborated in the article concerning the sociopolitical interactions the research involved. (shrink)

The article presents the empirical confirmation to the black hole and white hole juxtapose theory. The author based the experiment on the multi- mission multi-spectral space telescope data conducted remotely with the NASA Data Challenge and Harvard- Smithsonian Micro-Observatory. Since the loss of the original manuscript, the author reformulated the mathematics during the research. The observation developed a resonance observation technique that observed the white hole to the moon’s direction with the sun. The data reduction of the white hole and (...) other observations provides an explanation for the undetected gravitons and some empirical physical features of the white hole. (shrink)

The article describes exotic objects, the geons, which emerge as the result of gravitational attraction among massless energy quanta. It is shown that the formation of geons occurs at the energy Epl = 10^19 GeV and leads to the rise of microscopic black holes of a Planck dimension, Planck mass and two horizon events. It is shown that the formation of Planck geons is energetically more likely in 3-dimensional space than with ``physics" of geons in a space of a (...) different number of dimensions, what, as it appears, determined the 4-dimensional space-time at the very first moments after the ``Big Bang". The problem of singularity in the theory of relativity is discussed. It is shown that, from the mathematical point of view, any space of finite dimensions of any extension can be placed in a dimensionless ``point" of space of the Planck dimensions without the change of density of matter of the Metagalaxy. That theoretically solves the problem of physical singularities of the general theory of relativity. -/- . (shrink)

Over time, the general theory of relativity has accumulated several anomalies and discrepancies, indicating the need for a better theory about gravity or other approaches. The ad-hoc hypotheses introduced in general relativity to explain gravitational singularities based on energy conditions are not very efficient. More detailed assumptions on the content of the subject are needed. Many scientists and philosophers have come to the conclusion that singularities must be associated with reaching the limits of the physical validity of (...) general relativity, and a new theory of quantum gravity needs to be developed. DOI: 10.13140/RG.2.2.32579.55848. (shrink)

I discuss the ontological assumptions and implications of General Relativity. I maintain that General Relativity is a theory about gravitational fields, not about space-time. The latter is a more basic ontological category, that emerges from physical relations among all existents. I also argue that there are no physical singularities in space-time. Singular space-time models do not belong to the ontology of the world: they are not things but concepts, i.e. defective solutions of Einstein’s field equations. I briefly discuss (...) the actual implication of the so-called singularity theorems in General Relativity and some problems related to ontological assumptions of Quantum Gravity. (shrink)

Black holes are one of the fascinating objects in the universe with gravitational pull strong enough to capture light within them. Through this article we have attempted to provide an insight to the black holes, on their formation and theoretical developments that made them one of the unsolved mysteries of universe.

The Schwarzschild solution (Schwarzschild, 1915/16) to Einstein’s General Theory of Relativity (GTR) is accepted in theoretical physics as the unique solution to GTR for a central-mass system. In this paper I propose an alternative solution to GTR, and argue it is both logically consistent and empirically realistic as a theory of gravity. This solution is here called K-gravity. The introduction explains the basic concept. The central sections go through the technical detail, defining the basic solution for the geometric tensor, the (...) Christoffel symbols, Ricci tensor, Ricci scalar, Einstein tensor, stress-energy tensor and density-pressure for the system. The density is integrated, and some consistency properties are demonstrated. A notable feature is the disappearance of the event horizon singularity, i.e. there are no black holes. So far this is for a single central mass. A generalization of the solution for multiple masses is then proposed. This is required to support K-gravity as a viable general interpretation of gravity. Then the question of empirical tests is discussed. It is argued that current observational data is almost but not quite sufficient to verify or falsify K-gravity. The Pioneer spacecraft trajectory data is of particular interest, as this is capable of providing a test; but the data (which originally showed anomalies that match K-gravity) is now uncertain. A new and very practical experiment is proposed to settle the matter. This would provide a novel test of GTR, and a novel test of the cause of the Pioneer anomalies. In conclusion, K-gravity has extensive ramifications for gravitational physics and for the philosophy of GTR and space-time. (shrink)

The way, in which quantum information can unify quantum mechanics (and therefore the standard model) and general relativity, is investigated. Quantum information is defined as the generalization of the concept of information as to the choice among infinite sets of alternatives. Relevantly, the axiom of choice is necessary in general. The unit of quantum information, a qubit is interpreted as a relevant elementary choice among an infinite set of alternatives generalizing that of a bit. The invariance to the axiom of (...) choice shared by quantum mechanics is introduced: It constitutes quantum information as the relation of any state unorderable in principle (e.g. any coherent quantum state before measurement) and the same state already well-ordered (e.g. the well-ordered statistical ensemble of the measurement of the quantum system at issue). This allows of equating the classical and quantum time correspondingly as the well-ordering of any physical quantity or quantities and their coherent superposition. That equating is interpretable as the isomorphism of Minkowski space and Hilbert space. Quantum information is the structure interpretable in both ways and thus underlying their unification. Its deformation is representable correspondingly as gravitation in the deformed pseudo-Riemannian space of general relativity and the entanglement of two or more quantum systems. The standard model studies a single quantum system and thus privileges a single reference frame turning out to be inertial for the generalized symmetry [U(1)]X[SU(2)]X[SU(3)] “gauging” the standard model. As the standard model refers to a single quantum system, it is necessarily linear and thus the corresponding privileged reference frame is necessary inertial. The Higgs mechanism U(1) → [U(1)]X[SU(2)] confirmed enough already experimentally describes exactly the choice of the initial position of a privileged reference frame as the corresponding breaking of the symmetry. The standard model defines ‘mass at rest’ linearly and absolutely, but general relativity non-linearly and relatively. The “Big Bang” hypothesis is additional interpreting that position as that of the “Big Bang”. It serves also in order to reconcile the linear standard model in the singularity of the “Big Bang” with the observed nonlinearity of the further expansion of the universe described very well by general relativity. Quantum information links the standard model and general relativity in another way by mediation of entanglement. The linearity and absoluteness of the former and the nonlinearity and relativeness of the latter can be considered as the relation of a whole and the same whole divided into parts entangled in general. (shrink)

The year 2021 marked the commemoration of the centenary of the appearance of the stridentist movement and the literary avant-garde in Mexico. Stridentism broke into the public con- sciousness with the publication of the leaflet Actual No 1 on the main thoroughfares of Mexico City, convulsing the cultural en- vironment of the early 1920s and bringing together diverse young artists to undertake a literary renewal. This facsimile edition of Actual No 3, the final issue of Manuel Maples Arce’s magazine, which (...) appeared a hundred years ago this year and which until very recently was practically unknown, seeks to bring to the pub- lic something that is at once a singular avant-garde object and a magazine that expressed, at a very early stage, the cosmopolitan, iconoclastic, youthful character of stridentism and its time. "Stridentist Neo-object Actual No 3" is a essay that shows that from foundationless things and objects without gravitation to recomposed neo-objects emerges one of the lengthiest, rup- tured, polyhedric mutations in all fields of knowledge. The historical avant-gardes worked precisely in the turning of the tide on auratic objects that led to the appearance of neo-objects or recomposed objects. In their approach to objects, they tried var- ious operations: they deepened the depresentification of “natural” or “given” things, seeking—in some cases—dematerialization, the simultaneity of planes, the breakdown of logical links, while in others they the sought the primacy of the concept. They created multidimensional neo-objects shot through with events, on the scales of spaces, from the juxtaposed to the dislocated, the simultaneous contiguous to the dispersed, and the close to the distant. They criticized objects and materials they saw as bourgeois, auratic, and linked to ancient traditions and techniques. They created new syntactic velocities through which they interdigitated technical objects newly fashioned by human sensibility. (shrink)

This paper is based on a proposition concerning the origins of the universe that would not hold without the following principles: (1) the big bang did not emerge from nothing, without a primordial cause; (2) the unempirical nature of Isaac Newton’s laws of inertia are unempirical lead to the conclusion that motion is inherent in the universe (3) gravity is a function of celestial objects falling and rotating around other objects as their natural motion gets obstructed; (4) Albert Einstein’s curvature (...) of spacetime is not uniform. It follows that the massive cosmic explosion from the singularity event neither started spacetime, nor did it generate matter from nothing. The Spatial Discs Model (SDM) proposed here argues that all matter in our universe is finite, unstationary, and contained within interconnected spatial discs, that transfer the totality of the matter they contain to one other in a sequential manner. Hence, big bang explosions. Finally, because the nature of spatial discs is discrete and flexible, the universe will not expand forever. (shrink)

We argue the thesis that if (1) a physical process is mathematically representable by a Cauchy sequence; and (2) we accept that there can be no infinite processes, i.e., nothing corresponding to infinite sequences, in natural phenomena; then (a) in the absence of an extraneous, evidence-based, proof of `closure' which determines the behaviour of the physical process in the limit as corresponding to a `Cauchy' limit; (b) the physical process must tend to a discontinuity (singularity) which has not been reflected (...) in the Cauchy sequence that seeks to describe the behaviour of the physical process. We support our thesis by mathematical models of the putative behaviours of (i) a virus cluster; (ii) an elastic string; and (iii) a Universe that recycles from Big Bang to Ultimate Implosion, in which parity and local time reversal violation, and the existence of `dark energy' in a multiverse, need not violate Einstein's equations and quantum theory. We suggest that the barriers to modelling such processes in a mathematical language that seeks unambiguous communication are illusory; they merely reflect an attempt to ask of the language chosen for such representation more than it is designed to deliver. (shrink)

The vacuum energy density of free scalar quantum field Φ in a Rindler distributional space-time with distributional Levi-Cività connection is considered. It has been widely believed that, except in very extreme situations, the influence of acceleration on quantum fields should amount to just small, sub-dominant contributions. Here we argue that this belief is wrong by showing that in a Rindler distributional background space-time with distributional Levi-Cività connection the vacuum energy of free quantum fields is forced, by the very same background (...) distributional space-time such a Rindler distributional background space-time, to become dominant over any classical energy density component. This semiclassical gravity effect finds its roots in the singular behavior of quantum fields on a Rindler distributional space-times with distributional Levi-Cività connection. In particular we obtain that the vacuum fluctuations Φ2 have a singular behavior at a Rindler horizon R 0 : 2 ( ) 4 , 2 , δ = Φ δ δ − δ  c a a→∞ . Therefore sufficiently strongly accelerated observer burns up near the Rindler horizon. Thus Polchinski’s account doesn’t violate the Einstein equivalence principle. (shrink)

This article centers on Hume’s position on the intelligibility of natural philosophy. To that end, the controversy surrounding universal gravitation shall be scrutinized. It is very well-known that Hume sides with the Newtonian experimentalist approach rather than with the Leibnizian demand for intelligibility. However, what is not clear is Hume’s overall position on the intelligibility of natural philosophy. It shall be argued that Hume declines Leibniz’s principle of intelligibility. However, Hume does not eschew intelligibility altogether; his concept of causation itself (...) stipulates mechanical intelligibility. (shrink)

The singularity hypothesis is a radical hypothesis about the future of artificial intelligence on which self-improving artificial agents will quickly become orders of magnitude more intelligent than the average human. Despite the ambitiousness of its claims, the singularity hypothesis has been defended at length by leading philosophers and artificial intelligence researchers. In this paper, I argue that the singularity hypothesis rests on scientifically implausible growth assumptions. I show how leading philosophical defenses of the singularity hypothesis (Chalmers 2010, Bostrom 2014) fail (...) to overcome the case for skepticism. I conclude by drawing out philosophical implications of this discussion for our understanding of consciousness, personal identity, digital minds, existential risk, and ethical longtermism. GPI Working Paper No . 19-2022. (shrink)

Gravitational decoherence (GD) refers to the effects of gravity in actuating the classical appearance of a quantum system. Because the underlying processes involve issues in general relativity (GR), quantum field theory (QFT), and quantum information, GD has fundamental theoretical significance. There is a great variety of GD models, many of them involving physics that diverge from GR and/or QFT. This overview has two specific goals along with one central theme:(i) present theories of GD based on GR and QFT and (...) explore their experimental predictions;(ii) place other theories of GD under the scrutiny of GR and QFT, and point out their theoretical differences. We also describe how GD experiments in space in the coming decades can provide evidence at two levels:(a) discriminate alternative quantum theories and non-GR theories;(b) discern whether gravity is a fundamental or an effective theory. (shrink)

It is widely supposed that if there is to be a plausible connection between the truth of a de re attitude report about a subject and that subject’s possession of a singular thought, then ‘acquaintance’-style requirements on singular thought must be rejected. I show that this belief rests on poorly motivated claims about how we talk about the attitudes. I offer a framework for propositional attitude reports which provides both attractive solutions to recalcitrant puzzle cases and the key to preserving (...) acquaintance constraints. The upshot is that there is an independently motivated response to the principal argument against acquaintance. (shrink)

A singular thought can be characterized as a thought which is directed at just one object. The term ‘thought’ can apply to episodes of thinking, or to the content of the episode (what is thought). This paper argues that episodes of thinking can be just as singular, in the above sense, when they are directed at things that do not exist as when they are directed at things that do exist. In this sense, then, singular thoughts are not object-dependent.

Toward a theory of n-tuples of individuals and concepts as surrogates for Russellian singular propositions and singular concepts. Alonzo Church proposed a powerful and elegant theory of sequences of functions and their arguments as singular-concept surrogates. Church’s account accords with his Alternative (0), the strictest of his three competing criteria for strict synonymy. The currently popular objection to strict criteria like (0) on the basis of the Russell-Myhill paradox is misguided. Russell-Myhill is not a problem specifically for Alternative (0). Rather (...) it is a disproof of unrestricted concept comprehension. Unrestricted comprehension is also inconsistent with facts about sets of properties. It is demonstrated furthermore that the principal rival conception of propositions, as classes of possible worlds, is subject to a fatal philosophical collapse: It follows on that conception, given that each of us is fallible, that everyone believes everything. Although it is far superior to its principal rival conception, Church’s proposed theory is vulnerable under (0) to a version of Russell’s notorious Gray’s /Elegy/ objection. Some amendments to Church’s proposal are proffered that address Russell’s objection, including an amendment first proposed in the present author’s /Frege’s Puzzle/ (1986). Church’s response (personal correspondence) is considered. (shrink)

In this paper I challenge the widespread assumption that the conditions for singular reference are more or less the same as the conditions for singular thought. I claim that we refer singularly to things without thinking singularly about them more often than it is usually believed. I first argue that we should take the idea that singular thought is non-descriptive thought very seriously. If we do that, it seems that we cannot be so liberal about what counts as acquaintance; only (...) perception will do. I also briefly discuss and reject semantic instrumentalism. Finally, I argue that while singular reference is cheap, singular thought comes only at a price. (shrink)

Singular terms used in fictions for fictional characters raise well-known philosophical issues, explored in depth in the literature. But philosophers typically assume that names already in use to refer to “moderatesized specimens of dry goods” cause no special problem when occurring in fictions, behaving there as they ordinarily do in straightforward assertions. In this paper I continue a debate with Stacie Friend, arguing against this for the exceptionalist view that names of real entities in fictional discourse don’t work there as (...) they do in simple-sentence assertions, but rather as fictional names do. (shrink)

The singularities from the general relativity resulting by solving Einstein's equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case? In this essay I argue that there are singularities, and the general theory of relativity, as any other scientific theory (...) at present, is not valid for singularities. But that does not mean, as some scientists think, that it must be regarded as being obsolete. After a brief presentation of the specific aspects of Newtonian classical theory and the special theory of relativity, and a brief presentation of the general theory of relativity, the chapter Ontology of General Relativity presents the ontological aspects of general relativity. The next chapter, Singularities, is dedicated to the presentation of the singularities resulting in general relativity, the specific aspects of the black holes and the event horizon, including the Big Bang debate as original singularity, and arguments for the existence of the singularities. In Singularity Ontology, I am talking about the possibilities of ontological framing of singularities in general and black holes in particular, about the hole argument highlighted by Einstein, and the arguments presented by scientists that there are no singularities and therefore that the general theory of relativity is in deadlock. In Conclusions I outline and summarize briefly the arguments that support my above views. -/- DOI: 10.58679/TW62329. (shrink)

Thought about the singularity intersects the philosophy of mind in deep and important ways. However, thought about the singularity also intersects many other areas of philosophy, including the history of philosophy, metaphysics, the philosophy of science, and the philosophy of religion. I point to some of those intersections. Singularitarian thought suggests that many of the objects and processes that once lay in the domain of revealed religion now lie in the domain of pure computer science.

Although the view that sees proper names as referential singular terms is widely considered orthodoxy, there is a growing popularity to the view that proper names are predicates. This is partly because the orthodoxy faces two anomalies that Predicativism can solve: on the one hand, proper names can have multiple bearers. But multiple bearerhood is a problem to the idea that proper names have just one individual as referent. On the other hand, as Burge noted, proper names can have predicative (...) uses. But the view that proper names are singular terms arguably does not have the resources to deal with Burge’s cases. In this paper I argue that the Predicate View of proper names is mistaken. I first argue against the syntactic evidence used to support the view and against the predicativist’s methodology of inferring a semantic account for proper names based on incomplete syntactic data. I also show that Predicativism can neither explain the behaviour of proper names in full generality, nor claim the fundamentality of predicative names. In developing my own view, however, I accept the insight that proper names in some sense express generality. Hence I propose that proper names—albeit fundamentally singular referential terms—express generality in two senses. First, by being used as predicates, since then they are true of many individuals; and second, by being referentially related to many individuals. I respond to the problem of multiple bearerhood by proposing that proper names are polyreferential, and also explain the behaviour of proper names in light of the wider phenomenon I called category change, and show how Polyreferentialism can account for all uses of proper names. (shrink)

What is involved in having a singular thought about an ordinary object? On the leading epistemic view, one has this capacity if and only if one has belief-forming dispositions which would reliably enable one to get its properties right (Dickie, 2015). I first argue that Dickie’s official view entails surprising and unpalatable claims about either rationality or singular thought, before offering a precisification. Once we have reached that level of abstraction, it becomes difficult to see what is distinctively epistemic about (...) the framework. If we are to tease out the delicate connection between singular thought and knowledge, we should suspend the assumption that there is a homogeneous core, present in all cases of such thought, and that it is from there that its (univocal) epistemic character derives. (shrink)

This paper deals with the mutations in Wittgenstein’s treatment of the notions of “generality” and of “singularity”, from his first philosophy, in the Tractatus Logico-Philosophicus, to his later mature philosophy represented by the Philosophical Investigations. As we shall see, Wittgenstein’s philosophical handling of the notion of “visual perception” plays a key role in those conceptual transformations.

This essay develops the thesis that Frege’s notion of grasping does not refer to some special psychological relation between a subject and a proposition. Instead, the verb “to grasp” is a contextually defined technical term that, taken by itself, has no meaning. If that is right, then not only Frege’s resentment to the idea of grasping singular propositions is unfounded. The view that intentionality without representations is possible, championed by some advocates of the New Theory of Reference, is groundless as (...) well. (shrink)

Singularities in general relativity and quantum field theory are often taken not only to motivate the search for a more-fundamental theory (quantum gravity, QG), but also to characterise this new theory and shape expectations of what it is to achieve. Here, we first evaluate how particular types of singularities may suggest an incompleteness of current theories. We then classify four different 'attitudes' towards singularities in the search for QG, and show, through examples in the physics literature, that (...) these lead to different scenarios for the new theory. Two of the attitudes prompt singularity resolution, but only one suggests the need for a theory of QG. Rather than evaluate the different attitudes, we close with some suggestions of factors that influence the choice between them. (shrink)

SINGULARITY: 12 Precepts for Transcendental Living | © 2022 Cromwell Black Publishing House | Original work by Luis Herrera. -/- Living transcendentally is not the same as ‘having the answers to life.’ The intention with which this book is written is to help you identify the God within yourself. Religion is a guidepost, but not the answer. Philosophy is a guidepost, not the answer. People that over-identify with one group or tribe for ideological reasons invariably meet with disappointment because there (...) will always be some tenets they internally oppose and disagree with. Yet they ignore their inner voice in order to ‘fit in with the rest.’ Man is a social animal and excommunication from the tribe has been tantamount to extinction of our lineage since our days as hunters and gatherers. By living transcendentally I have learned to acknowledge, welcome and accept the space between myself and my tribe. I invite you to do the same. -/- Learning to listen to the God within, I can trust my inner voice more because there is a message spoken there, uniquely for me, that will never be printed on the pages of the Bible, or the Koran, or the Tao Te Ching, or any other book for that matter. There’s only one YOU. Others may have your name, but not your identity. They may share your birth date and hospital, but not your parents. They may share your parents, but not your name. Do you see what I’m getting at here? Therefore how can a ‘one-size fits all’ religion, education or philosophy possibly answer the question to your meaning of life? There is no the meaning of life, because there is no the life. There are infinite lives, for which infinite meanings must be furnished. Hence the importance of learning to trust yourself, your inner voice, conscience – the God within. (shrink)

There is an important difference between a thought that is directed towards a particular object and a thought that is not so directed. For example, there is a difference in my thoughts about my brother, and my thoughts about brothers, more generally. The first has the earmarks of singular thought, while the latter does not. After showing that there is no agreement about the nature of singular thought, I revisit early Russell to find greater clarity. I then advance a version (...) of Millianism that builds on early Russell’s view of singular thought. I argue that the advocates of the direct reference view who argue that being on the receiving end of a name is suffi cient for having singular thoughts about the object named have not provided good reasons for their views. Passing on a name can provide the recipient with a general understanding of the name, but not specific understanding. That is, when acquiring the name, the recipient may not learn the identity of the object named as this very object which, I argue, is required for one having singular thoughts of that object. (shrink)

In a series of papers, Robin Jeshion has forcefully criticized both Donnellan's and Evans’ claims on the contingent a priori, and she has developed an “acquaintanceless” account of singular thoughts as an alternative view. Jeshion claims that one can fully grasp a singular thought expressed by a sentence including a proper name, even if its reference has been descriptively fixed and one’s access to the referent is “mediated” by that description. But she still wants to reject “semantic instrumentalism”, the view (...) that “there are no substantive conditions of any sort on having singular thought. We can freely generate singular thoughts at will by manipulating the apparatus of direct reference.” Her account of singular thoughts is a psychological one, rejecting any epistemic requirement. Having singular thoughts is for her a matter of deploying “mental files” or “dossiers” that play a significant role in the cognitive life of the individual. This paper elaborates on an alternative descriptivist-friendly view, which has important points of contact with Jeshion’s. It differs, particularly in that it is an epistemic view; it is only a broadly understood acquaintance view, as it will transpire, but this does not make it a mere terminological variation on Jeshion’s acquaintanceless one. To argue for it, the paper discusses some relevant aspects of the semantics of fictional discourse. (shrink)

De re or singular thoughts are, intuitively, those essentially or constitutively about a particular object or objects; any thought about different objects would be a different thought. How should a philosophical articulation or thematization of their nature look like? In spite of extended discussion of the issue since it was brought to the attention of the philosophical community in the late fifties by Quine (1956), we are far from having a plausible response. Discussing the matter in connection with the status (...) of the Kripkean category of the contingent a priori, Donnellan (1979) argued that what can be properly classified as knowable a priori about utterances like those involving ‘one meter’ or ‘Neptune’ famously proposed by Kripke (1980) cannot be the very same singular content that is contingent he distinguished to that end between knowing a true proposition expressed by an utterance, and knowing that an utterance expresses a true proposition. Evans (1979) replied that, for a very specific sort of cases involving “descriptive names”, a related proto-two-dimensionalist account should be preferred, on which it is not the singular contingent content, but rather a general descriptive one which is knowable a priori. In a series of papers, Robin Jeshion (2000, 2001) has recently attacked Donnellan's proposal, arguing in favour of the most straightforward interpretation of Kripke's claim: in the relevant cases, the very same singular content can be both contingent and knowable a priori. This paper appeals to a generalized version of two-dimensional semantics to advance an account of the Kripkean cases along the lines of Evans's, and argues that Jeshion's compelling arguments against Donnellan's view do not apply to this version. (shrink)

On the traditional relationalist conception of singular thought, a thought has singular content when it is based on an ‘information relation’ to its object. Recent work rejects relationalism and suggests singular thoughts are distinguished from descriptive thoughts by their inferential role: only thoughts with singular content can be employed in ‘direct’ inferences, or inferences that ‘trade on identity’. Firstly this view is insufficiently clear, because it conflates two distinct ideas—one about a kind of inference, the other a kind of process (...) that grounds inferences—under the title, ‘trading on identity’. Secondly, this leaves us without a notion that can be used as an alternative to relationalism about singular thought. The first notion is no more applicable to singular than to descriptive thought. The second may help us better understand singular thought, but does so, not by replacing the view that singular thoughts are information-based, but by helping us understand the nature of information-based thought. (shrink)

Marion has criticized Levinas for failing to account for the individuation of the Other, thus leaving the face of the Other abstract, neutral and anonymous. I defend Levinas against this critique by distinguishing between the individuation of the subject through hypostasis and the singularization of self and Other through ethical response. An analysis of the instant in Levinas’s early and late work shows that it is possible to speak of a “nameless singularity” which does not collapse into neutrality or abstraction, (...) but rather explains the sense in which anyone is responsible for any Other who happens to come along. (shrink)

Albert Einstein proposed three tests of general relativity, later named the classic tests of general relativity, in 1916: the precession of the perihelion of Mercury's orbit, sun light deflection, and the gravitational redshift of the light. For gravitational testing, the indirect effects of gravity are always used, usually particles that are influenced by gravity. In the presence of gravity, the particles move along curved geodesic lines. The sources of gravity that cause the curvature of spacetime are material bodies, (...) depending on their mass. But in relativity the mass relates to the energy through the formula E = mc2, and the energy with the momentum, according to the special relativity. DOI: 10.13140/RG.2.2.25608.16648. (shrink)

The paper explores the handling of singular analogy in quantitative inductive logics. It concentrates on two analogical patterns coextensive with the traditional argument from analogy: perfect and imperfect analogy. Each is examined within Carnap’s λ-continuum, Carnap’s and Stegmüller’s λ-η continuum, Carnap’s Basic System, Hintikka’s α-λ continuum, and Hintikka’s and Niiniluoto’s K-dimensional system. Itis argued that these logics handle perfect analogies with ease, and that imperfect analogies, while unmanageable in some logics, are quite manageable in others. The paper concludes with a (...) modification of the K-dimensional system that synthesizes independent proposals by Kuipers and Niiniluoto. (shrink)

É bem conhecida a divergência entre as posições de Gottlob Frege e Bertrand Russell com relação ao tratamento semântico dado a sentenças contendo termos singulares indefinidos, ou seja, termos singulares sem referência ou com referência ambígua, tais como ‘Papai Noel’ ou ‘o atual rei da França’ ou ‘1/0 ’ ou ‘√4’ ou ‘o autor de Principia Mathematica’. Para Frege, as sentenças da linguagem natural que contêm termos indefinidos não formam declarações e portanto não são nem verdadeiras nem falsas. Já para (...) as sentenças da matemática, Frege defende que elas precisam ser corrigidas através da convenção forçada de uma referência não ambígua. Russell, por outro lado, aceita os termos indefinidos e propõe, através de sua teoria das descrições definidas, uma maneira de avaliar as sentenças em que eles ocorrem; e Quine amplia a teoria de Russell para abranger também os nomes com problemas de referência. Na prática da matemática são comuns os termos singulares indefinidos, sem referência, tais como ‘1/0 ’, ou com referência ambígua, tais como ‘√4’. Apesar de não haver uma sistematização rigorosa desta situação entre os matemáticos, há, no entanto, um conjunto de regras convencionais que tradicionalmente costumam ser aplicadas no tratamento matemático dos termos indefinidos. Nossa proposta é tomar a convenção matemática como inspiração e modelo para apresentar uma interpretação semântica formal para as descrições definidas e os nomes e utilizá-la como um argumento que favorece a abordagem de Russell relativamente à de Frege. (shrink)

Here, we show that by accepting Fuzzy time-Particle interpretation of Quantum Mechanics, the singularities in the new Model are vanished.

This article presents formal correspondences between the ontological and logical structures of Deleuze’s theory of sense-events in the Logic of Sense as a “post-Cantorian orientation of thought” (Livingston 2012), grappling with an essential incompleteness or inconsistency at the heart of both Being and thought, one which Deleuze champions positively under the equation Ungrounding = Becoming. Through it, Deleuze’s sometimes slippery use of the concept of singularity (and its relation to the virtual) is elaborated, elucidating a post-Cantorian metaphysics of events, distinct (...) from and preceding Badiou’s, that concretely defines the role of the singular in Deleuze’s early major works. (shrink)

Perceptual experiences seem to in some sense have singular contents. For example, a perceptual experience of a dog as fluffy seems to represent some particular dog as being fluffy. There are important phenomenological, intuitive, and semantic considerations for thinking that perceptual experiences represent singular contents, but there are also important phenomenological, epistemic, and metaphysical considerations for thinking that they do not. This paper proposes a two-tier picture of the content of singular perceptual experiences that is based on phenomenal intentionality theories (...) of intentionality combined with self-ascriptivism about derived representation, a combination of views that allows mental states to have two types of contents: phenomenal contents and derived contents. On the proposed picture, singular perceptual experiences represent singular phenomenal contents, which do not involve worldly objects, as well as singular derived contents, which do involve worldly objects. This picture accommodates and reconciles the considerations for and against thinking that perceptual experiences have singular contents. (shrink)

Composite materialism, as I will understand it, is the view that human persons are composite material objects. This paper develops and investigates an argument, The Vague Singulars Argument, for the falsity of composite materialism. We shall see that cogent or not, the Vague Singulars Argument has philosophically significant ramifications.